Integral representation of holomorphic functions on Banach spaces

Mostrar todas las versiones(3)

In this paper we discuss the problem of integral representation of analytic functions over a complex Banach space E. We obtain, for a wide class of functions, integral representations of the form f (x) = ∫E′ eγ(x) f1 (γ) dW(γ) and f(x) = ∫E′ 1/1 - γ(x)/∥γ∥ f2(γ) dW(γ), where W is an abstract Wiener...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Pinasco, D., Zalduendo, I.
Formato: JOUR
Materias:
Cauchy integral formula
Gaussian measures
Integral representation
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0022247X_v308_n1_p159_Pinasco
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_0022247X_v308_n1_p159_Pinasco
record_format dspace
spelling todo:paper_0022247X_v308_n1_p159_Pinasco2023-10-03T14:29:08Z Integral representation of holomorphic functions on Banach spaces Pinasco, D. Zalduendo, I. Cauchy integral formula Gaussian measures Integral representation In this paper we discuss the problem of integral representation of analytic functions over a complex Banach space E. We obtain, for a wide class of functions, integral representations of the form f (x) = ∫E′ eγ(x) f1 (γ) dW(γ) and f(x) = ∫E′ 1/1 - γ(x)/∥γ∥ f2(γ) dW(γ), where W is an abstract Wiener measure on E′ and f1, f2 are transformations of f involving the covariance operator of W. © 2004 Elsevier Inc. All rights reserved. Fil:Pinasco, D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Zalduendo, I. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0022247X_v308_n1_p159_Pinasco
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Cauchy integral formula
Gaussian measures
Integral representation
spellingShingle Cauchy integral formula
Gaussian measures
Integral representation
Pinasco, D.
Zalduendo, I.
Integral representation of holomorphic functions on Banach spaces
topic_facet Cauchy integral formula
Gaussian measures
Integral representation
description In this paper we discuss the problem of integral representation of analytic functions over a complex Banach space E. We obtain, for a wide class of functions, integral representations of the form f (x) = ∫E′ eγ(x) f1 (γ) dW(γ) and f(x) = ∫E′ 1/1 - γ(x)/∥γ∥ f2(γ) dW(γ), where W is an abstract Wiener measure on E′ and f1, f2 are transformations of f involving the covariance operator of W. © 2004 Elsevier Inc. All rights reserved.
format JOUR
author Pinasco, D.
Zalduendo, I.
author_facet Pinasco, D.
Zalduendo, I.
author_sort Pinasco, D.
title Integral representation of holomorphic functions on Banach spaces
title_short Integral representation of holomorphic functions on Banach spaces
title_full Integral representation of holomorphic functions on Banach spaces
title_fullStr Integral representation of holomorphic functions on Banach spaces
title_full_unstemmed Integral representation of holomorphic functions on Banach spaces
title_sort integral representation of holomorphic functions on banach spaces
url http://hdl.handle.net/20.500.12110/paper_0022247X_v308_n1_p159_Pinasco
work_keys_str_mv AT pinascod integralrepresentationofholomorphicfunctionsonbanachspaces
AT zalduendoi integralrepresentationofholomorphicfunctionsonbanachspaces
_version_ 1807323283931004928

Ejemplares similares